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how do you solve 16^(-3/4) without a calculator?

Mathematics
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split the powers and then do individually
what do you mean by split the powers?
do u got it

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Other answers:

no, im lost where -3 is multiplyed by 6 and then the ^1/4 part
ok i explain in steps
(-3) means \[\frac{1}{16^3}\] and (1/4) means \[\sqrt[4]{16}\] right? So, since you're doing both to the 16... it can be written as \[\frac{1}{\sqrt[4]{16^3}}\] or \[\frac{1}{\sqrt[4]{16}^3}\]
that makes sense so far
Now, one looks much more easy to solve than the other, even though they are the same thing.
the power is -3/4 base is 16 now 16^-3 . 16^1/4=1/(16)^3.\[\sqrt[4]{16}\]
how does \[\sqrt[4]{16^3}\] turn into 8?
i know the answer is 1/8
\[\sqrt[4]{4096}\]
nvm
I would look at it the other way - just to avoid that huge number \[16^3\].
\[\frac{1}{\sqrt[4]{16}^3}\]
So it's like \[\frac{1}{(\sqrt[4]{16})^3}\]
And what is \[\sqrt[4]{16}\]?
Guess :P
It's a nice number.
2
sorry, i was afk for a while
then 2^3 is 8
so 1/8
thanks!
Understood! Thank you! And you're welcome!

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